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Finding the Third Proportional to 344,193.75 and 756,459

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Solution

The third proportional to 344,193.75 and 756,459 is: 1,662,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,193.75 : 756,459 = 756,459 : x
  2. Step 2: Convert to fraction form
    344,193.75/756,459 = 756,459/x
  3. Step 3: Cross multiply
    344,193.75x = 756,459 × 756,459
  4. Step 4: Simplify right side
    344,193.75x = 572,230,218,681
  5. Step 5: Solve for x
    x = 572,230,218,681/344,193.75
  6. Step 6: Final answer
    x = 1,662,523.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.